Interactivate



This page is dedicated to the presentation of Shodor's Interactivate tools and their and alignment to Indiana state standards.

Number and Operations (22)

The tools	Description	Applicable Indiana State Standards	Examples of classroom use
Algorithm Discovery with Venn Diagrams	Allows students to sort different shapes into Venn diagrams. (Grades 3-5, Grades 6-8, Grades 9-12)
An Introduction to Arithmetic and Geometric Sequences	Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on. (Grades 6-8, Grades 9-12)
Clock Arithmetic and Cryptography	Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers. (Grades 6-8, Grades 9-12)
Comparing Fractions	Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents. (Grades 3-5, Grades 6-8)
Estimation	Introduces students to making estimations. (Grades 3-5, Grades 6-8)
Estimation (elementary)	Students practice and improve upon their estimation skills. (Grades 3-5)
Factors	Students learn about factoring by using manipulatives and computer applets. (Grades 3-5)
Finding Factors	Finding the factors of whole numbers. (Grades 3-5, Grades 6-8)
Fraction Conversion	Motivate converting fractions to decimals with the use of money. (Grades 3-5)
Fraction Facts	Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents. (Grades 6-8)
Fraction King	Students and teacher play a game called "Fraction King" to seed the idea of taking fractions of whole numbers then use manipulatives and several computer applets to concretize the idea. (Grades 3-5)
Ideas for Working with Fractions	Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities. (Grades 3-5)
Multiplying Decimals and Mixed Numbers	Reinforces skills associated with multiplying decimals and mixed numbers. (Grades 3-5, Grades 6-8)
Pascal's Triangle	Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results. (Grades 6-8, Grades 9-12)
Patterns in Fractals	Introduces students to the idea of finding number patterns in the generation of several different types of fractals. (Grades 6-8, Grades 9-12)
Patterns in Pascal's Triangle	Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns. (Grades 6-8, Grades 9-12)
Practicing Arithmetic	Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals. (Grades 6-8)
Recognizing Patterns	Students learn to identify a variety of patterns using sequences and tessellations. (Grades 3-5)
Sets and the Venn Diagram	Introduces students to the notions of sets, elements, and Venn diagrams. (Grades 3-5, Grades 6-8, Grades 9-12)
Sorting with Venn Diagrams	Students learn how to classify items and numbers on Venn Diagrams using computer applets. (Grades 3-5)
Spy Game	Students will learn about modular arithmetic in order to decipher encrypted messages. (Grades 3-5)
Venn Diagrams	Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams. (Grades 3-5)

Geometry(25)

		Applicable Indiana State Standards	Examples of classroom use
An Introduction To Quadrilaterals	Introduces students to quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids. (Grades 6-8, Grades 9-12)
Angles	Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal. (Grades 6-8, Grades 9-12)
Angles (elementary)	Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal. (Grades 3-5)
Area	Comparing shapes with the same areas but different perimeters. (Grades 6-8)
Area (elementary)	This lesson has students explore areas of rectangular and irregular shapes on a grid to help them understand the concept of area and the units in which area is measured. (Grades 3-5)
Estimation (elementary)	Students practice and improve upon their estimation skills. (Grades 3-5)
Fractals and the Chaos Game	Outlines the approach to playing the chaos game and how it relates to geometric fractals. (Grades 6-8, Grades 9-12)
Geometry in Tessellations	Explores lines, planes, angles, and polygons in tessellations. (Grades 6-8, Grades 9-12)
Introduction to Fractals: Geometric Fractals	Outlines the approach to building fractals by cutting out portions of plane figures. (Grades 6-8, Grades 9-12)
Introduction to Fractals: Infinity, Self-Similarity and Recursion	Introduces students to the ideas involved in understanding fractals. (Grades 6-8, Grades 9-12)
Irregular Fractals	Looks at how irregular fractals can be generated and how they fit into computer graphics. (Grades 6-8, Grades 9-12)
Length, Perimeter, and Area	Introduces students to length, perimeter and area. (Grades 3-5, Grades 6-8)
Lines, Rays, Line Segments, and Planes	Introduces students to lines, rays, line segments, and planes. (Grades 6-8, Grades 9-12)
Patterns in Fractals	Introduces students to the idea of finding number patterns in the generation of several different types of fractals. (Grades 6-8, Grades 9-12)
Perimeter	Introduces students to the concept of perimeter. (Grades 3-5, Grades 6-8)
Perimeter (elementary)	Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets. (Grades 3-5)
Probability and Geometry	Students learn about how probability can be represented using geometry. (Grades 6-8, Grades 9-12)
Properties of Fractals	A capstone lesson to allow students to build a working definition of fractal. (Grades 6-8, Grades 9-12)
Pythagorean Theorem	Students learn how the Pythagorean Theorem works and how to apply it. (Grades 6-8, Grades 9-12)
Surface Area and Volume	Introduces students to the concepts of surface area and volume. (Grades 6-8, Grades 9-12)
Tessellations: Geometry and Symmetry	Examines plane symmetry. (Grades 6-8, Grades 9-12)
The Mandelbrot Set	Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set. (Grades 6-8, Grades 9-12)
Translations, Reflections, and Rotations	Introduces students to concepts of transformations. (Grades 6-8, Grades 9-12)
Triangle Area	Students learn about finding the area of a triangle. (Grades 3-5)
Visual Patterns in Tessellations	Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture. (Grades 6-8, Grades 9-12)

Algebra(12)

		Applicable Indiana State Standards	Examples of classroom use
An Introduction to Arithmetic and Geometric Sequences	Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on. (Grades 6-8, Grades 9-12)
Cartesian Coordinate System	Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane." (Grades 6-8)
Functions and the Vertical Line Test	Introduces students to the vertical line test for graphs of functions. (Grades 6-8, Grades 9-12)
Graphing and the Coordinate Plane	Students learn basic ideas about graphing points on the coordinate plane. (Grades 6-8)
Graphs and Functions	Demonstrates the connections between formulas and graphs. (Grades 6-8, Grades 9-12)
Impossible Graphs	Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility. (Grades 6-8, Grades 9-12)
Introduction to Fractals: Infinity, Self-Similarity and Recursion	Introduces students to the ideas involved in understanding fractals. (Grades 6-8, Grades 9-12)
Introduction to Functions	Introduces the basic ideas needed for understanding functions. (Grades 6-8, Grades 9-12)
Irregular Fractals	Looks at how irregular fractals can be generated and how they fit into computer graphics. (Grades 6-8, Grades 9-12)
More Complicated Functions: Introduction to Linear Functions	Introduces the basic ideas needed for understanding linear functions. (Grades 6-8, Grades 9-12)
Properties of Fractals	A capstone lesson to allow students to build a working definition of fractal. (Grades 6-8, Grades 9-12)
Reading Graphs	Demonstrates the connections between formulas, graphs and words. (Grades 6-8, Grades 9-12)

Probability(15)

		Applicable Indiana State Standards
Chaos	Students learn about the concepts and applications of chaos. (Grades 6-8, Grades 9-12)
Conditional Probability and Probability of Simultaneous Events	Introduces conditional probability and the probability of simultaneous events. (Grades 6-8, Grades 9-12)
Fire!, Probability, and Chaos	Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation. (Grades 6-8, Grades 9-12)
Fractals and the Chaos Game	Outlines the approach to playing the chaos game and how it relates to geometric fractals. (Grades 6-8, Grades 9-12)
From Probability to Combinatorics and Number Theory	Looks at data structures and their applications to probability theory. (Grades 6-8, Grades 9-12)
Ideas that Lead to Probability	Introduces students to concepts used which lead to probability. (Grades 6-8, Grades 9-12)
Introduction to the Concept of Probability	Introduces students to simple probability concepts. (Grades 6-8, Grades 9-12)
Playing with Probability	(Grades 3-5)
Probability	Students learn about probability by predicting the outcome of planned experiments and playing racing games. (Grades 3-5)
Probability and Geometry	Students learn about how probability can be represented using geometry. (Grades 6-8, Grades 9-12)
Probability and Sports	Considers probability concepts on the basis of statistics in professional sports. (Grades 6-8)
Probability: Playing with Fire	Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire. (Grades 3-5)
Replacement and Probability	Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects. (Grades 6-8, Grades 9-12)
Tree Diagrams and Probability	Introduces the concept of tree diagrams as a way to compute probability of a multi-step event. (Grades 6-8, Grades 9-12)
Unexpected Answers	Considers probability problems with unexpected and surprising answers. (Grades 6-8, Grades 9-12)

Statistics(9)

		Applicable Indiana State Standards
Box Plots	Introduces students to quartiles and box plots. (Grades 6-8, Grades 9-12)
Histograms and Bar Graphs	Introduction and fine points of using bar graphs and histograms. (Grades 6-8, Grades 9-12)
Introduction to Bar Graphs	This lesson allows students to learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs. (Grades 3-5)
Introduction to Statistics: Mean, Median, and Mode	Introduces statistical measures of center. (Grades 6-8, Grades 9-12)
Linear Regression and Correlation	Students are introduced to correlation between two variables and the line of best fit. (Grades 6-8, Grades 9-12)
Misleading Graphs	This lesson will challenge students to think creatively by having them design and build water balloon catchers from random scrap materials, while requiring them to take into consideration a multitude of variables. Students will then construct at least two bar graphs to be used in a commercial advocating the purchase of their group's catcher. (Grades 3-5, Grades 6-8)
Statistics and Shopping	Looks at statistics and data analysis concepts from the practical questions that arise in everyday life. (Grades 6-8, Grades 9-12)
Stem-and-Leaf Plots	Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots. (Grades 6-8, Grades 9-12)
The Bell Curve	Introduces the normal distribution and looks at the bell curve controversy. (Grades 6-8, Grades 9-12)

Modeling(4)

		Applicable Indiana State Standards
Algorithm Discovery with Venn Diagrams	Allows students to sort different shapes into Venn diagrams. (Grades 3-5, Grades 6-8, Grades 9-12)
Fire!, Probability, and Chaos	Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation. (Grades 6-8, Grades 9-12)
Impossible Graphs	Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility. (Grades 6-8, Grades 9-12)
Reading Graphs	Demonstrates the connections between formulas, graphs and words. (Grades 6-8, Grades 9-12)

Discrete(3)

		Applicable Indiana State Standards
From Probability to Combinatorics and Number Theory	Looks at data structures and their applications to probability theory. (Grades 6-8, Grades 9-12)
Sorting with Venn Diagrams	Students learn how to classify items and numbers on Venn Diagrams using computer applets. (Grades 3-5)
Venn Diagrams	Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams. (Grades 3-5)